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Nature

Wiring up quantum systems

Robert J. Schoelkopf, S. M. Girvin

Published Feb 1, 2008• 963 citations
Publisher
DOI
10.1038/451664a

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•Feb 17, 2023•1 citation
We study the contact values of the inter-wire pair-correlation function in electron-electron and electron-hole double-wire systems. For this purpose the ladder approximation as generalized to multicomponent systems is used. The ladder approximation yields positive values for the inter-wire gee(0) and geh(0) for all values of the density parameter rs and distance d between the wires. This allows us to infer possible instabilities in the system more reliably compared to other approaches. We also investigate the effects of quantum-wire width and screening on the inter-wire pair-correlation functions.
In this paper, we have studied optical properties of an inhomogeneous quantum wire system. In this regard, we have calculated the absorption coefficients and refractive index changes using density matrix method. We have investigated the effect of size variation on these optical properties. The wires are considered to be triangle with infinite potential at the boundaries. We have described the size nonuniformity distribution by a Gaussian function. It is shown that the optical properties of the quantum wires depend strongly on the wire size distribution described by the parameters a0 and D (the average side length and standard deviation of quantum wire, respectively). It is deduced that the effect of size distribution on the optical properties of triangle quantum wire is noticeable.
Abstract In this work, the computational method of Variational Monte Carlo is used to study the ground state properties of electron-hole (e-h) bi-wire systems. We have calculated the pair correlation function and static structure factor of a coupled infinitely thin e-h wire system of electronic density (rs= 1) and inter-wire distance (d = 1). The numerical calculation is carried out using the many-body trial wave function of the Slater-Jastrow backflow type. It is observed that the inter-wire correlations become quite important in the case of the mass-symmetric electron-hole bi-wire system due to the coulomb attractive nature of the bi-wire system.